Finding the Third Proportional to 16,106 and 23,458

Step by Step Solution

1. Step 1: Write the proportion equation
   16,106 : 23,458 = 23,458 : x
2. Step 2: Convert to fraction form
   16,106/23,458 = 23,458/x
3. Step 3: Cross multiply
   16,106x = 23,458 × 23,458
4. Step 4: Simplify right side
   16,106x = 550,277,764
5. Step 5: Solve for x
   x = 550,277,764/16,106
6. Step 6: Final answer
   x = 34,166.01